Linear Combination of Vectors

A linear combination of two or more vectors is the vector obtained by adding two or more vectors (with different directions) which are multiplied by scalar values.

Linear Combination of Vectors

Linear Combination of Vectors

Linear Combination of Vectors

Examples

Write the vector Vector M = (1, 2, 3) as a linear combination of the vectors: Vector U = (1, 0, 1), Vector V = (1, 1, 0) and Vector W = (0, 1, 1).

Linear Combination of Vectors

Linear Combination of Vectors

Linear Combination of Vectors

System of Equations

System of Equations

Vector Calculations

Vector Solution